Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cs |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-31755078747684864 = -1 · 217 · 33 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79824,12174228] |
[a1,a2,a3,a4,a6] |
j |
-16835377/9504 |
j-invariant |
L |
6.1843130735471 |
L(r)(E,1)/r! |
Ω |
0.34357294984122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11154x1 89232cf1 |
Quadratic twists by: -4 13 |